An office supply store recently sold a black printer ink cartridge for ​$14.99 and a color printer ink cartridge for ​$23.99. At the start of a recent fall​ semester, a total of 64 of these cartridges was sold for a total of ​$1157.36. How many of each type were​ purchased?

Answer:

1, 1, 2, 2, 4, 5, 8

Step-by-step explanation:

Hope this helps :)

Maybe brainliest?

Answer:

The eighth term of the geometric sequence 3, 12, 48 ... is 49,152. You just multiply every number by 4 :)

So, the required 8th term is 49152.

The Geometric series formula or the geometric sequence formula gives the sum of a finite geometric sequence.

The sequence will be of the form [tex]\{a, ar, ar^2, ar^3, ..\}[/tex]

And the formula for the nth term is [tex]t_n=ar^{n-1}[/tex]

The given series is,

3, 12, 48, ....

First term=3

The common ratio is,

[tex]\frac{12}{3}=4\\ \frac{48}{12}=4[/tex]

So, the given series is geometric series so the 8th term by the above formula is,

[tex]t_8=3\times (4)^{8-1}\\t_8=49152[/tex]

Learn more about the topic Geometric Series:

https://brainly.com/question/26042879

Answer:

Step-by-step explanation:

Answer:

multiply length x width x height.

l x w x h

[tex]{ \large{ \red{{\green{✮}} \: \: \sf{A \: \: number \: \: in \: \: the \: \: form \: \: of \: \:{\pink{ \frac{a}{b} \: \: where \: \: b≠0 }}\: \:{\orange{ is \: \: called \: \: a }}\: \: { \blue{ \underline{ \underline{ \tt{Rational \: \: Number}.}}}}}}}}[/tex]

Answer:

40.5

Step-by-step explanation:

if y varies jointly as the square of x and the cube of z and inversely as the square root of w, this is expressed as;

y ∝ x²z³/√w

y = kx²z³/√w

If x = 2, z = 2, y = 12 and w = 64

Substitute;

12 = k (2)²(2)³/√64

12 = 32k/8

12 = 4k

k = 12/4

k = 3

To get y when x = 1, z = 3, and w = 4.

y = 3 (1)²(3)³/√4

y = (3*27)/2

y = 81/2

y = 40.5

Hence the value of y is 40.5

Answer:

a) 5/6

b) 7/8

c) 3/4

Step-by-step explanation:

Draw models for the fractions provided and compare.

Hope this helps.

Answer:

5/6<6/7  3/4<5/6>7/8     2/3>3/4>7/12

Answer:

its d)x=3.

Step-by-step explanation:

If we're finding the extrema using the vertex then its x=3

Answer:

C. Trapezoid

Step-by-step explanation:

A hexagon is a polygon with six sides, thus and six interior angles ABCDEF. After the segment AD (which is the diameter of the circle P) has been drawn, it divides the hexagon into two halves. With each half forming the shape of a trapezoid, so that ADEF is a trapezoid.

Thus, the appropriate option is C, trapezoid.

Answer:

I cant draw 4 u sry

Answer:

A. c = 3.5h + 15

Step-by-step explanation:

I can't exactly draw the problem BUT I can still help.

C represents the cost altogether but we do not know how much the total cost would be.

So we're paying $15 as a fee, no more from that.

Next, there's another fee that costs $3.50 per hour but since we wouldn't know how long we would use the kayak, hours would represent h.

Now, c = 3.5h + 15.

(In other words, the cost to rent a kayak would be $3.5 PLUS the additonal 15 one time cost.)

Answer:

The answer is "Option e"

Step-by-step explanation:

use formula:

[tex]N(\mu\ , \ \sigma)= N(555,101)\\\\ \frac{N}{\mu}= 326\\\\\sigma=80\\\\\text{manny has weight}=700 \ lbs\\\\\to z-score= \frac{x-\mu}{\sigma}[/tex]

                   [tex]=\frac{(700-555)}{101} \\\\ = \frac{(145)}{101} \\\\ = 1.44[/tex]

Answer:

180 of the drinks sold were soda

Step-by-step explanation:

if we divide 600 by 0.30, which is 30%, we would get 180, so your answer would be 180.

Answer:

We can convert any measuring unit to another by multiplying it by a very special ratio (or ratios) that equals ONE. We can form these special ratios from the conversion factors. For example, 1 ft = 12 in is a conversion factor, and we can write from it the ratios 1 ft/12 in and 12 in/1 ft, which both equal 1.

Answer: You can convert any measuring unit to another by multiplying it by ratios that equals one.

Step-by-step explanation:

Answer:

Number of people lived in Texas =  2,242,200

Step-by-step explanation:

Given:

People per square mile = 3,737

Area of Texas = 600 square mile

Find:

Number of people lived in Texas

Computation:

Number of people lived in Texas = People per square mile x Area of Texas

Number of people lived in Texas = 3,737 x 600

Number of people lived in Texas =  2,242,200

Answer:

no

Step-by-step explanation:

64/16 = 4

60/14 = 4.28...

Answer:

Let F = The number of $5 bills and T = the number of $10 bills.  She has 15 bills total, so:

F+T = 15                

T = 15-F

She has $120 total:

$120 = ($5)*F + ($10)*T

$120 = $5*F + ($10)*(15-F)         [Substitute 15-F in place of T]

120 = 5F + 150 - 10F

-30 = -5F

6 = F

Check:

T= 15-F = 15=6 = 9

$120 = ($5)*6 + ($10)*9

$120 = $30 + $90

$120 = $120

Elizabeth had 4 of $10 bills, 9 of $5 bills and 16 of $1 bill.

Let x represent the number of $10 bill, y represent the number of $5 bill and z represent the number of $1 bill. Hence:

10x + 5y + z = 101   (1)

Also:

y = x + 5     (2)

And:

z = 4x    (3)

From equation 1, 2 and 3:

x = 4, y = 9, z = 16

Elizabeth had 4 of $10 bills, 9 of $5 bills and 16 of $1 bill.

Find out more on equation on: https://brainly.com/question/2972832

Answer:

A

Step-by-step explanation:

6 blue cassettes × 45 min = 270 min

8 green cassettes × 55 min = 440 min

270 min + 440 min = 710 min

Answer:

Step-by-step explanation:

The dashed vertical line indicates that -3 is not included so x is greater than -3. The diagonal line is solid indicating that it is included so y is greater than or equal to -4x/5 -2. So it is second answer.

Answer:

[tex]Tree = 17ft[/tex]

Step-by-step explanation:

Given

[tex]Wall = 4ft\ 3in[/tex]

[tex]Wall\ Shadow = 6ft[/tex]

[tex]Tree\ Shadow = 24ft[/tex]

Required:

Determine the height of the tree

To do this, we make use of the following equivalent ratios

Wall : Wall Shadow = Tree : Tree shadow

Substitute values for Wall, Wall Shadow and Tree Shadow

[tex]4ft\ 3in : 6ft = Tree : 24ft[/tex]

Convert all units to ft

[tex]4ft+ 0.25ft : 6ft = Tree : 24ft[/tex]

[tex]4.25ft : 6ft = Tree : 24ft[/tex]

Convert to fractions

[tex]\frac{4.25ft}{6ft} = \frac{Tree }{ 24ft}[/tex]

Cross Multiply

[tex]Tree * 6ft = 4.25ft * 24ft[/tex]

[tex]Tree * 6ft = 102ft^2[/tex]

Make Tree the subject

[tex]Tree = \frac{102ft^2}{6ft}[/tex]

[tex]Tree = \frac{102ft}{6}[/tex]

[tex]Tree = 17ft[/tex]

Hence, the tree is 17ft tall

Answer:

57 x 457 x 4.3 = 10 x (5.7 x 4.3) = 10 x 24.51 = 245.1

Step-by-step explanation:

If we look closely at the two equations you will see the following...

57 x 4.3 = 10 x (5.7 x 4.3)

(Since we know what 5.7 x 4.3 equals to we just substitute the value of 24.51 and get...)

57 x 4.3 = 10 x 24.51

57 x 4.3 = 245.1

Answer:

Bobcats (i am assuming you need the team with the higest ratio of wins to losses)

Step-by-step explanation:

As a decimal cougars is 1.2 Bulldogs is 1.6 tgers is 0.6 and the largest is bobcats which os 2.0 so the answer is bobcats.

Answer:

B

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Let XY = a

Since,

XY + YZ = XZ

a + YZ = 24

YZ = 24 - a

By angle bisector property:

[tex]\frac{WX}{WZ} = \frac{XY}{YZ} \\ \\ \frac{15}{21} = \frac{a}{24 - a} \\ \\ \frac{5}{7} = \frac{a}{24 - a} \\ \\ 5(24 - a) = 7a \\ \\ 120 - 5a = 7a \\ \\ 120 = 7a + 5a \\ \\ 120 = 12a \\ \\ a = \frac{120}{12} \\ \\ a = 10 \\ \\ \implies \: XY = 10[/tex]

Answer:

difference between x and 2

Step-by-step explanation:

x-2< 9

x< 11

Answer:

He runs 6.5 km in one hour.

Step-by-step explanation:

3 ¼ km per half hour = 6.5 km per hour.

Answer:

12 2/3

Step-by-step explanation:

there are 4 quarters to 1 hour

3 1/6 x 4 =  

19/6 * 4 = 76/6 = 12 4/6, reduces to 12 2/3 km per hour

pls mark brainliest

x is -31 because you had to add -11 and -20

Answer:

Step-by-step explanation:

y + 8 = 3/4(x - 8)

y + 8 = 3/4x - 6

y = 3/4x - 14

Answer:

0.07017543859

Step-by-step explanation:

I hope this helps have a nice day!